A Modified Negative Binomial Distribution: Properties, Overdispersion and Underdispersion
Journal of Statistical Theory and Applications (JSTA), 2019 In this paper, we introduce a new and useful discrete distribution (modified negative binomial distribution) and its statistical and probabilistic properties are discussed.
Ghobad Barmalzan +2 more
doaj +1 more source
Modelling overdispersion with the normalized tempered stable distribution [PDF]
, 2010 This paper discusses a multivariate distribution which generalizes the Dirichlet distribution and demonstrates its usefulness for modelling overdispersion in count data.
Griffin, Jim E. +3 more
core +1 more source
An improved bound for negative binomial approximation with -functions
AKCE International Journal of Graphs and Combinatorics, 2017 In this article, we use Stein’s method together with -functions to give an improved bound for the total variation distance between the distribution of a non-negative integer-valued random variable and the negative binomial distribution with parameters ...
K. Teerapabolarn
doaj +1 more source
Estimation for the bivariate negative binomial distribution
Journal of Statistical Computation and Simulation, 1985 Subrahmaniam and Subrahmaniam (1973) have considered several estimation procedures for the parameters of the bivariate negative binomial distribution. In this paper even-point estimators are examined and relative comparisons with maximum likelihood, moment and zero-zero cell frequency estimators are given.
Loukas, S., Papageorgiou, H.
openaire +3 more sources
Bühlmann's Credibility Model with Claims of Negative Binomial and 2-Poisson Distribution
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 One of the premium determination techniques is to use credibility theory. In this study, a credibility premium determination model was derived with the best accuracy approach in the form of Bühlmann’s credibility premium.
Ikhsan Maulidi, Vina Apriliani
doaj +1 more source
Inference on parameter β of the Generalized Negative Binomial Distribution [PDF]
, 2022 In this paper, we propose a generalized likelihood ratio test to discernwhether a set of data fits a Negative Binomial as a particular case of theGeneralized Negative Binomial Distribution(GNBD).
Vaquera Huerta, Humberto; Colegio de Postgraduados
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Bayesian geostatistical prediction of the intensity of infection with Schistosoma mansoni in East Africa. [PDF]
, 2006 A Bayesian geostatistical model was developed to predict the intensity of infection with Schistosoma mansoni in East Africa. Epidemiological data from purpose-designed and standardized surveys were available for 31,458 schoolchildren (90% aged between 6 ...
Moyeed, R, Clements, ACA, Brooker, S
core +1 more source
How many strong earthquakes will there be tomorrow?
Frontiers in Applied Mathematics and Statistics, 2023 In this note, we study the distribution of earthquake numbers in both worldwide and regional catalogs: in the Global Centroid Moment Tensor catalog, from 1980 to 2019 for magnitudes Mw 5.
Matteo Taroni +3 more
doaj +1 more source
Dealing with varying detection probability, unequal sample sizes and clumped distributions in count data [PDF]
, 2012 Temporal variation in the detectability of a species can bias estimates of relative abundance if not handled correctly. For example, when effort varies in space and/or time it becomes necessary to take variation in detectability into account when data ...
Lehvävirta, Susanna +8 more
core +2 more sources
A consistent estimator for the binomial distribution in the presence of “incidental parameters”: an application to patent data [PDF]
, 2003 In this paper a consistent estimator for the Binomial distribution in the presence of incidental parameters, or fixed effects, when the underlying probability is a logistic function is derived.
Machado, Matilde P.
core +3 more sources